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We present a novel approach for constructing discrete optimization benchmarks that enables fine-grained control over problem properties, and such benchmarks can facilitate analyzing discrete algorithm behaviors. We build benchmark problems…

Neural and Evolutionary Computing · Computer Science 2026-04-09 Furong Ye , Frank Neumann , Thomas Bäck , Niki van Stein

Given a dictionary that consists of multiple blocks and a signal that lives in the range space of only a few blocks, we study the problem of finding a block-sparse representation of the signal, i.e., a representation that uses the minimum…

Optimization and Control · Mathematics 2015-05-27 Ehsan Elhamifar , Rene Vidal

Building on existing work with Hyperblocks, which classify data using minimum and maximum bounds for each attribute, we focus on enhancing interpretability, decreasing training time, and reducing model complexity without sacrificing…

Machine Learning · Computer Science 2025-06-10 Austin Snyder , Ryan Gallagher , Boris Kovalerchuk

Fine-tuning large language models is a popular choice among users trying to adapt them for specific applications. However, fine-tuning these models is a demanding task because the user has to examine several factors, such as resource…

Machine Learning · Computer Science 2024-06-07 Arjun Singh , Nikhil Pandey , Anup Shirgaonkar , Pavan Manoj , Vijay Aski

Solving mixed-integer optimization problems with embedded neural networks with ReLU activation functions is challenging. Big-M coefficients that arise in relaxing binary decisions related to these functions grow exponentially with the…

Optimization and Control · Mathematics 2025-02-06 Christoph Plate , Mirko Hahn , Alexander Klimek , Caroline Ganzer , Kai Sundmacher , Sebastian Sager

Large Language Models (LLMs) are not only resource-intensive to train but even more costly to deploy in production. Therefore, recent work has attempted to prune blocks of LLMs based on cheap proxies for estimating block importance,…

Machine Learning · Computer Science 2024-07-24 Shoaib Ahmed Siddiqui , Xin Dong , Greg Heinrich , Thomas Breuel , Jan Kautz , David Krueger , Pavlo Molchanov

Iterative pruning is one of the most effective compression methods for pre-trained language models. We discovered that finding the optimal pruning decision is an equality-constrained 0-1 Integer Linear Programming problem. The solution to…

Computation and Language · Computer Science 2023-05-23 Siyu Ren , Kenny Q. Zhu

This paper presents Thanos, a novel weight-pruning algorithm designed to reduce the memory footprint and enhance the computational efficiency of large language models (LLMs) by removing redundant weights while maintaining accuracy. Thanos…

Machine Learning · Computer Science 2025-04-09 Ivan Ilin , Peter Richtarik

Large language models (LLMs) have demonstrated outstanding performance in various tasks, such as text summarization, text question-answering, and etc. While their performance is impressive, the computational footprint due to their vast…

Machine Learning · Computer Science 2024-04-22 Peng Xu , Wenqi Shao , Mengzhao Chen , Shitao Tang , Kaipeng Zhang , Peng Gao , Fengwei An , Yu Qiao , Ping Luo

Convolutional neural networks are prevailing in deep learning tasks. However, they suffer from massive cost issues when working on mobile devices. Network pruning is an effective method of model compression to handle such problems. This…

Computer Vision and Pattern Recognition · Computer Science 2022-05-10 Zhaofeng Si , Honggang Qi , Xiaoyu Song

In this paper, we analyze the convergence %semi-convergence properties of projected non-stationary block iterative methods (P-BIM) aiming to find a constrained solution to large linear, usually both noisy and ill-conditioned, systems of…

Numerical Analysis · Mathematics 2022-02-11 Mahdi Mirzapour , Andrzej Cegielski , Tommy Elfving

Large language models (LLMs) have shown remarkable capabilities in language understanding and generation. However, such impressive capability typically comes with a substantial model size, which presents significant challenges in deployment…

Computation and Language · Computer Science 2025-06-26 Guinan Su , Li Shen , Lu Yin , Shiwei Liu , Yanwu Yang , Jonas Geiping

Although large language models (LLMs) have achieved remarkable success across various domains, their considerable scale necessitates substantial computational resources, posing significant challenges for deployment in resource-constrained…

Machine Learning · Computer Science 2024-11-26 Yao Lu , Hao Cheng , Yujie Fang , Zeyu Wang , Jiaheng Wei , Dongwei Xu , Qi Xuan , Xiaoniu Yang , Zhaowei Zhu

Compressing neural nets is an active research problem, given the large size of state-of-the-art nets for tasks such as object recognition, and the computational limits imposed by mobile devices. We give a general formulation of model…

Machine Learning · Computer Science 2017-07-06 Miguel Á. Carreira-Perpiñán

This paper presents a numerical function optimization framework designed for constrained optimization problems in robotics. The tool is designed with real-time considerations and is suitable for online trajectory and control input…

Robotics · Computer Science 2025-11-11 Sait Sovukluk , Christian Ott

Binary optimization is a powerful tool for modeling combinatorial problems, yet scalable and theoretically sound solution methods remain elusive. Conventional solvers often rely on heuristic strategies with weak guarantees or struggle with…

Optimization and Control · Mathematics 2026-05-12 Wenbo Liu , Akang Wang , Dun Ma , Hongyi Jiang , Jianghua Wu , Wenguo Yang

Basic block reordering is an important step for profile-guided binary optimization. The state-of-the-art goal for basic block reordering is to maximize the number of fall-through branches. However, we demonstrate that such orderings may…

Programming Languages · Computer Science 2020-04-14 Andy Newell , Sergey Pupyrev

Microscaling is a critical technique for preserving the quality of Large Language Models (LLMs) quantized to ultra-low precision formats. Intuitively, finer block sizes should yield lower quantization error; however, a paradox recently…

Machine Learning · Computer Science 2026-05-12 Clemens Schaefer , Gil Tabak

Large Language Models (LLMs) deployed in real-world settings increasingly face the need to unlearn sensitive, outdated, or proprietary information. Existing unlearning methods typically formulate forgetting and retention as a regularized…

Computation and Language · Computer Science 2025-10-28 Taha Entesari , Arman Hatami , Rinat Khaziev , Anil Ramakrishna , Mahyar Fazlyab

Decision-making problems are commonly formulated as optimization problems, which are then solved to make optimal decisions. In this work, we consider the inverse problem where we use prior decision data to uncover the underlying…

Optimization and Control · Mathematics 2022-12-27 Rishabh Gupta , Qi Zhang